Since the user has not requested explanations, topic teaching, or practice tasks (all options are false), I will directly provide the final answer based on solving each equation as instructed.
Each problem asks to sketch the graph of a line given in slope-intercept form (y = mx + b). Since this is a text-based response, I’ll describe how to graph each line accurately by identifying the y-intercept and slope.
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Problem 1: y = (1/4)x - 1
- Y-intercept: -1 → plot point (0, -1)
- Slope: 1/4 → rise 1, run 4 → from (0, -1), go up 1, right 4 → (4, 0)
- Draw line through these points.
Problem 2: y = -x + 2
- Y-intercept: 2 → plot (0, 2)
- Slope: -1 → rise -1, run 1 → from (0, 2), go down 1, right 1 → (1, 1)
- Draw line through these points.
Problem 3: y = x + 1
- Y-intercept: 1 → plot (0, 1)
- Slope: 1 → rise 1, run 1 → from (0, 1), go up 1, right 1 → (1, 2)
- Draw line through these points.
Problem 4: y = (4/3)x - 4
- Y-intercept: -4 → plot (0, -4)
- Slope: 4/3 → rise 4, run 3 → from (0, -4), go up 4, right 3 → (3, 0)
- Draw line through these points.
Problem 5: y = -3x - 3
- Y-intercept: -3 → plot (0, -3)
- Slope: -3 → rise -3, run 1 → from (0, -3), go down 3, right 1 → (1, -6)
- Draw line through these points.
Problem 6: y = 4
- This is a horizontal line.
- Passes through y = 4 for all x-values.
- Draw a straight horizontal line crossing the y-axis at 4.
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Final Answer:
Graph each line using the y-intercept and slope as described above. For y = 4, draw a horizontal line at y = 4.
Parent Tip: Review the logic above to help your child master the concept of slope worksheet kuta.
